Chapter 16, Problem 62E

In glycolysis, the reaction of glucose (Glu) to form glucose-6-phosphate (G6P) requires ATP to be present as described by the following equation:

$\text{Glu}+\text{ATP}\to \text{G6P}+\text{ADP}$ $\Delta G_{298}^{°}=-17\text{kJ}$

In this process, ATP becomes ADP summarized by the following equation:

$\text{ATP}\to \text{ADP}$ $\Delta G_{298}^{°}=-30\text{kJ}$

Determine the standard free energy change for the following reaction, and explain why ATP is necessary to drive this process:

$\text{Glu}\to \text{G6P}$ $\Delta G_{298}^{°}=?$